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10244068400 = 245232217951
BaseRepresentation
bin10011000101001100…
…00001010000110000
3222102221000121000202
421202212001100300
5131434440142100
64412301534332
7511600100426
oct114246012060
928387017022
1010244068400
114387567235
121b9a8743a8
13c73434047
146d2737116
153ee51e7d5
hex262981430

10244068400 has 60 divisors (see below), whose sum is σ = 24622111584. Its totient is φ = 4095840000.

The previous prime is 10244068397. The next prime is 10244068421. The reversal of 10244068400 is 486044201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1284425 + ... + 1292375.

Almost surely, 210244068400 is an apocalyptic number.

10244068400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10244068400 is an abundant number, since it is smaller than the sum of its proper divisors (14378043184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10244068400 is a wasteful number, since it uses less digits than its factorization.

10244068400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11190 (or 11179 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The spelling of 10244068400 in words is "ten billion, two hundred forty-four million, sixty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 3221 6442 7951 12884 15902 16105 25768 31804 32210 39755 51536 63608 64420 79510 80525 127216 128840 159020 161050 198775 257680 318040 322100 397550 636080 644200 795100 1288400 1590200 3180400 25610171 51220342 102440684 128050855 204881368 256101710 409762736 512203420 640254275 1024406840 1280508550 2048813680 2561017100 5122034200 10244068400